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Finding the Fourth Proportional to 4,768.42, 7,152.82 and 1,481.44

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Solution

The fourth proportional to 4,768.42, 7,152.82 and 1,481.44 is: 2,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.42 : 7,152.82 = 1,481.44 : x
  2. Step 2: Convert to fraction form
    4,768.42/7,152.82 = 1,481.44/x
  3. Step 3: Cross multiply
    4,768.42x = 7,152.82 × 1,481.44
  4. Step 4: Simplify right side
    4,768.42x = 10,596,473.66
  5. Step 5: Solve for x
    x = 10,596,473.66/4,768.42
  6. Step 6: Final answer
    x = 2,222.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.